Search a number
-
+
1100328 = 233192127
BaseRepresentation
bin100001100101000101000
32001220100220
410030220220
5240202303
635330040
712231645
oct4145050
92056326
101100328
11691769
12450920
132c6aa8
14208dcc
1516b053
hex10ca28

1100328 has 48 divisors (see below), whose sum is σ = 2926080. Its totient is φ = 344736.

The previous prime is 1100321. The next prime is 1100353. The reversal of 1100328 is 8230011.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1100321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8601 + ... + 8727.

It is an arithmetic number, because the mean of its divisors is an integer number (60960).

21100328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1100328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1463040).

1100328 is an abundant number, since it is smaller than the sum of its proper divisors (1825752).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1100328 is a wasteful number, since it uses less digits than its factorization.

1100328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1100328 is about 1048.9652043800. The cubic root of 1100328 is about 103.2382707647.

Adding to 1100328 its reverse (8230011), we get a palindrome (9330339).

The spelling of 1100328 in words is "one million, one hundred thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 127 152 228 254 361 381 456 508 722 762 1016 1083 1444 1524 2166 2413 2888 3048 4332 4826 7239 8664 9652 14478 19304 28956 45847 57912 91694 137541 183388 275082 366776 550164 1100328